 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2018/ii/paper-2/26j/a/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

E ∣ Z X_{n} ∣ \leq (E ∣ Z ∣^{2})^{1/2} (E ∣ X_{n} ∣^{2})^{1/2} \leq ∥ Z ∥_{2} < \infty.

Thus $Z X_{n}$ is integrable for every

n

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